Least Common Multiple (LCM) of 179 and 138
The least common multiple (LCM) of 179 and 138 is 24702.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 179 and 138?
First, calculate the GCD of 179 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 138 = 1 remainder 41 |
| 2 | 138 ÷ 41 = 3 remainder 15 |
| 3 | 41 ÷ 15 = 2 remainder 11 |
| 4 | 15 ÷ 11 = 1 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 77 | 5159 |
| 70 and 192 | 6720 |
| 195 and 116 | 22620 |
| 48 and 136 | 816 |
| 102 and 70 | 3570 |